Bissoy.com
Doctors Medicines MCQs Q&A

A and B can do a piece of work in 9 days, B and C in 12 days, A and C in 18 days. If all of them work together, then how much time will they take to finish the same work?

A and B can do a piece of work in 9 days, B and C in 12 days, A and C in 18 days. If all of them work together, then how much time will they take to finish the same work? Correct Answer 8

(A + B + B + C + C + A) একত্রে 1 দিনে করে = ( 1/9 + 1/12 + 1/18) অংশ 2 ( A + B + C) একত্রে 1 দিনে করে = ( 12 × 18) + ( 9 × 18) + ( 9 × 12)/ 9 × 12 × 18 ( A + B + C) একত্রে 1 দিনে করে = ( 216 + 162 + 108) /( 2 × 9 × 12 × 18) = 486/ 18 × 18 × 12 A, B, C একত্রে কাজটি করে = (18 × 18 × 12)/486 = 8 দিনে।

Related Questions

Three friends Adam, Eve and Kane who are working together working at different speed where Adam being the slowest and Kane being the Fastest. When Adam and Eve work together they take x days to finish a task. When Eve and Kane work together they take y days to finish a task. One of them, if he worked alone would take thrice as much time as it would take when all three work together. How much time would it take if all three worked together?
‘P’ taken 16 days to finish a piece of work. ‘Q’ takes 24 days to finish the same piece of work.  'R' takes 48 days to finish the same piece of work. How many days will all three of them together take to finish the same piece of work?
In the following question, two statements are numbered as Statement I and II. On solving these statements we get Quantity A and B respectively. Solve the given statements for both quantities and choose the correct option. Statement I: 5 men can finish work in 25 days. After 12 days, 2 workers have fallen sick. How much approximate time does it take to finish the work by remaining workers? Statement II: 12 men can finish a work in 28 days and 10 women can finish the same work in 30 days. What is the approximate time taken by 7 men and 5 women to finish this work?
A and B can finish a work together in 30 days. B and C can finish the same work together in 24 days. A and C can finish the work together in 40 days. If all three work together, how long will it take them to complete the work?
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: A can do a piece of work in 10 days and B can do the same work in 15 days. They start working together and after 4 days, A left the work. Find in how many days the total work will be completed. Quantity B: P can do a piece of work in 15 days and Q can do the same work in 25 days. They start working together and after 5 days, Q left the work. Find in how many days the remaining work will gets completed.
A and B together can finish a work in 10 days, B and C together can finish the same work in 15 days, and A and C together can finish the same work in 20 days. In how many days can c alone finish the same work?
Choose the correct option from the following Quantity I: If A and B can do a piece of work in 10 days, B and C in 12 days and if all three are together then said work is done in 8 days. In how many days would C and A complete the work if working together? Quantity II: A can do a piece of work in 2/5th of work in 10 days and B can do 1/2 of the same work in 8 days. If both of them are working together then in how many days would the work get completed?
X women can finish a work in 2Y days. 1.5X men can finish that same work in Y days and 3X children can finish the same work in 2Y days. 8 Men, 8 Women and 8 children can finish a work in 45/2 days. 9 men can finish the same in Y + 20 days. What is the value of X, Y?
A and B together can finish 12.5% of a work in 6/7 days. B and C can together finish one-sixth of the work in 1.6 days. C and A can finish the work in 8 days. In how many days will all of them working together will finish the work?
A and B can finish a work in 2.4 days. If the number of days for which they work increases by 2 days each for A and B then time taken by them together to finish the work is 24/7 days. Find the time taken by them to complete the work together, If the number of days for which they work increases by 4 days each?